In Class Questions MATH 151-Fall 02 September 3

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In Class Questions
MATH 151-Fall 02
September 3
1. Find the vector that represents moving from point A(2, -5) to point B(4, 3). What angle
does this vector make with respect to the positive x-axis?
2. Find the vector that represents moving from point A(2, -5) to point B(-1, 5). What angle
does this vector make with respect the the positive x-axis?
3. A plane flies at a speed of 250km per hour in a direction of N30o W. (This means a direction
of 30o West of North.) Give the vector that represents this information.
4. A quarterback releases the football with a velocity of 50ft/sec at an angle of 35o with the
horizontal. Find the horizontal and vertical components.
5. Which set of vectors are parallel?
(a) < 1, 6 > and < 6, 1 >
(b) < 2, 8 > and < 7, 28 >
(c) < 6, −24 > and < −7.5, 30 >
−
6. Is the vector →
a = 4i + 2j a unit vector? explain why or why not.
→
−
7. Find a vector that has the opposite direction of b = 8i − 5j and a magnitude of 4.
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